Dynamical Impact Problem With Loss Of Energy:
Numerical Study For Large Times. Application To
A Model Of Tight Joints
Author(s)
L. Paoli & M. Schatzmaif
Abstract
Dynamical impact problem with loss of energy:
numerical study for large times. Application to
a model of tight joints
L. Paoli,* M. Schatzmaif
"Equipe d ' Analyse Numerique, URA 740 CNRS, Universite de
St. Etienne, France
* Labor atoir e d 'Analyse Numerique, URA 740 CNRS, Universite
Lyon 1, France
1. Introduction
We consider a system with N degrees of freedom, whose motion is des-
cribed by:
w = /(f,%, 6) (1)
and subject to constraints
%(f) G A' (2)
where A" is a closed smooth convex set of IR/ We assume that there is no dry friction, therefore at impacts the
tangential velocity is conserved; however kinetic energy is lost at impacts
as the normal velocity is reversed and multiplied by a restitution coefficient
e G]0, 1]. Hence, we have the following impact law:
u(t + 0) = ur(t - 0) - eitN(t - 0) if u(t) e dK (3)
The equations (l)-(2)-(
Keywords
Related Book
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